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Incremental representation of viscoelastic-plastic materials

Inkrementelle Beschreibung viskoelastisch-plastischer Materialeigenschaften

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Summary

In principle, incremental constitutive equations are linear relations between a convenient stress rate and the strain rate tensor. These linear relations depend on the strain and the stress history as well as on criteria for cases of loading and unloading. The concept of incremental constitutive equations, which is discussed in this paper, includes a wide class of possibilities to describe inelastic material properties in the sense of viscoelastic and plastic behaviors. Moreover, coupled viscoelastic-plastic phenomena can be represented.

Essentially, incremental formulations of constitutive assumptions can be understood as a particular realization of the principles of determinism and objectivity.

Übersicht

Inkrementelle Materialgleichungen sind im Prinzip lineare Beziehungen zwischen geeigneten Spannungs- und Verzerrungsgeschwindigkeitstensoren. Diese linearen Beziehungen hängen von der Spannungs- und Deformationsgeschichte ab sowie auch von Kriterien zur Unterscheidung der Fälle Be- und Entlastung. Das Konzept der inkrementellen Materialbeschreibung, das in dieser Arbeit diskutiert wird, enthält viele Möglichkeiten, inelastische Materialeigenschaften im Sinne eines viskoelastischen und plastischen Materialverhaltens darzustellen. Viskoelastisch-plastische Kopplungseffekte können ebenfalls berücksichtigt werden.

Inkrementell formulierte Materialgleichungen kann man prinzipiell auffassen als Realisierung der Prinzipien des Determinismus und der materiellen Objektivität.

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  1. Institut für Mechanik, Techaische Hochschule Darmstadt, Hochschulstr. 1, D-6100, Darmstadt

    P. Haupt

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  1. P. Haupt
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Haupt, P. Incremental representation of viscoelastic-plastic materials. Ing. arch 53, 1–12 (1983). https://doi.org/10.1007/BF01352166

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